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D( x )
x < 0
x < 0
x in <0:+oo)
3*x^(1/2)-(8*x^(1/4)) = 3 // - 3
3*x^(1/2)-(8*x^(1/4))-3 = 0
3*x^(1/2)-8*x^(1/4)-3 = 0
t_1 = x^(1/4)
3*t_1^2-8*t_1^1-3 = 0
3*t_1^2-8*t_1-3 = 0
DELTA = (-8)^2-(-3*3*4)
DELTA = 100
DELTA > 0
t_1 = (100^(1/2)+8)/(2*3) or t_1 = (8-100^(1/2))/(2*3)
t_1 = 3 or t_1 = -1/3
t_1 = -1/3
x^(1/4)+1/3 = 0
1*x^(1/4) = -1/3 // : 1
x^(1/4) = -1/3
( -1/3 < 0 i 1/4 in (0:1) ) => x należy do O
t_1 = 3
x^(1/4)-3 = 0
1*x^(1/4) = 3 // : 1
x^(1/4) = 3
x^(1/4) = 3 // ^ 4
x = 81
x = 81
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